Comparisons Between WHEP and Homotopy Perturbation Techniques in Solving Stochastic Cubic Oscillatory Problems

ABSTRACT

In this paper, nonlinear oscillators under cubic nonlinearity with stochastic inputs are considered. Two techniques are used to introduce approximate solutions, mainly; the Wiener-Hermite expansion and perturbation (WHEP) technique and the homotopy perturbation method (HPM). Some statistical moments are computed using the two methods with the big aid of symbolic computations of mathematica-5. Comparisons are illustrated through figures.